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Question 2 On January 1, 2018, Carvel Corp. issued five-year bonds with a face value of $590,000 and a coupon interest rate o

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CARVEL CORP.
Bond premium amortization
On January 1,2018
Semi-annual interest periods Interest payment Interest expense Premium amortization Unamortized premium Bond Carrying amount
Jan. 1/18 $25,819 $615,819
July 1/18 $17,700 $15,395.48 $2,304.53 $23,514.48 $613,514.48
Jan. 1/19 $17,700 $15,337.86 $2,362.14 $21,152.34 $611,152.34

Interest payment = $590,000 x 3% =$17,700

Interest expense = preceding bond carrying amount x 2.5%

Premium amortization = Interest payment - Interest expense

Unamortized premium = Face value - Bond carrying value

Bond carrying value = Preceding bond carrying value - premium amortized

Calculations:

Interest payment = $590,000 x 6% x 6/12 =$17,700

Present value of interest payments $154,911
[$17,700 x 8.75206 present value annuity factor (10 years, 2.5%)]
Present value of face value of the bonds $460,908
[$590,000 x 0.78120 present value factor (10 years, 2.5%)]
Issue price of the bonds $615,819
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